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Maths
GCSE

A triangle has 3 angles of 60 degrees, (5y-40) degrees, and (2y+20) degrees. Show that the triangle is equilateral.

All the angles in a triangle add up to 180 degrees.

Therefore, 60 + (5y - 40) + (2y + 20) = 180.

This can be simplified to 7y +40 = 180.

And simplified again to 7y = 140, which then m...

AC
Answered by Alex C. Maths tutor
6139 Views

Billy wants to buy 10kg of the same oranges. Type A comes in bags of 1.25 kg and costs £1.50. Type B comes in bags of 5kg and used to cost £6.60 but are now 15% off. Which type is more worth it for Billy and how much does it cost?

For Type A: 10kg/1.25kg = 8 bags, therefore for 10kg it costs 8 x £1.50 = £12.00.

For Type B: 1 bag used to cost £6.60 but now has 15% off =>15% of £6.60 => £6.60 x 0.15 = £0.99 => So one ...

AC
Answered by Alex C. Maths tutor
4170 Views

How do I solve a quadratic equation?

All quadratic equations can be written in the form ax2 + bx + c = 0, where a, b and c are constants. Firstly, check whether you can easily factorise the equation into the form (x + p)(x + q) = ...

MS
Answered by Matthew S. Maths tutor
4011 Views

By completing the square, find any turning points and intersects with the x and y axes of the following curve. f(x) = 2x^2 - 12x +7

f(x) = 2x2 - 12x +7

  • First take out a factor of 2 so that we have the coefficient of x2 as 1.        f(x) = 2[x2 - 6x +7/2]

  • Next, complet...

FI
Answered by Freddie I. Maths tutor
22571 Views

Solve the inequality 5x + 3 ≤ 3x − 6

The first step that we need to take is to take all the 'x' terms to one side of the inequality. In this case, we can subtract '3x' from both sides to obtain 2x+3 ≤ -6. Then we want to take all the non- x ...

RU
Answered by Ritvik U. Maths tutor
5554 Views

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